Question

A certain sum amounts to Rs. 7200 in two years at 20% per annum compound interest. compounded annually. Find the sum.​

Answer 1

Answer:

Step-by-step explanation:

Interest for 1 year is the same whether it's simple interest or the compound interest.

Now interest of third year = 8575 - 7350 = 1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest = 1225

if 100 is the principal interest =(1225/7350) * 100 = 50/3 %

When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100

Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %

Therefore amount after 2 years = 100 + 325/9 = 1225/9

If 1225/9 is the amount principal =100

if 7350 is the amount principal =(900/1225)*7350 =5400

So sum = 5400; Rate = 50/3 %

Answer 2

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A=P(1+100/R)T

A=72900,R=8%.T=2 years,P=?

72900=P(1+100/8)2

P=72900×108/100×108/100

P=16/1000000

=62500Rs.